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Finding the Fourth Proportional to 120,378.60, 180,597.06 and 36,138.60

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Solution

The fourth proportional to 120,378.60, 180,597.06 and 36,138.60 is: 54,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,378.60 : 180,597.06 = 36,138.60 : x
  2. Step 2: Convert to fraction form
    120,378.60/180,597.06 = 36,138.60/x
  3. Step 3: Cross multiply
    120,378.60x = 180,597.06 × 36,138.60
  4. Step 4: Simplify right side
    120,378.60x = 6,526,524,912.52
  5. Step 5: Solve for x
    x = 6,526,524,912.52/120,378.60
  6. Step 6: Final answer
    x = 54,216.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.